INVESTIGATION OF STRATEGIES AND MATHEMATICAL CREATIVITY OF 8TH GRADE GIFTED STUDENTS ON NONLINEAR REALISTIC GENERALIZATION TASKS

Date

2025-5-16

Author

Tuncer, Zeynep

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The present study aims to investigate the strategies that 8th-grade gifted students use while solving alternative types of nonlinear realistic generalization tasks and their mathematical creativity while solving these tasks. Four 8th-grade gifted students who attend Science and Art Centers (SAC) in İstanbul and Ankara, Türkiye, constituted the participants of the study. The design of the study was a collective case study design. Data was collected during the 2023-2024 academic year via semi-structured task-based interviews, problem sheets, and the researcher’s field notes. The data was analyzed through content analysis. The findings showed that while solving different types of nonlinear realistic generalization tasks gifted students generated diverse and numerous strategies, which are, counting from a drawing, connecting to the known pattern, grouping and assigning a variable, using the existing generalization, identifying regularities by investigating the numerical relationships embedded in the figure, identifying regularities by assigning alternative values to the variable and generating the visual representation, and identifying regularities by generating the algebraic representation and assigning alternative values. In addition, in this study, the mathematical creativity of gifted students was analyzed based on four components of mathematical creativity, namely, fluency, flexibility, originality, and elaboration. Findings revealed that 8th-grade gifted students provided creative responses while solving nonlinear realistic generalization tasks.

Subject Keywords

Gifted Students, Generalization, Mathematical Creativity, Solution Strategies

URI

https://hdl.handle.net/11511/115030

Collections

Graduate School of Natural and Applied Sciences, Thesis